This collection of vCalc Collections provides tools to support the creation of home brew rules or house rules for Dungeons and Dragons scenarios. These may be tools you will use as a dungeon master to craft unique game-play oriented toward focused goals.

We'll Start with basic dice rolling and then get into probabilistic draws that may be sculpted for desired game-play outcomes.  And beyond that, wherever math and vCalc can help sculpt the best D&D gaming experience, we will make an attempt to provides useful tools.

Watch for links in the vCalc text.  They are not always quite obvious.

D&D 1.0 Rolling a Dice

The probabilities associated with the roll of a dice are based on independent events and a uniform distribution of probability.  Special D&D Dice-Rolling calculator CLICK HERE

CLICK HERE to see available Dice-Rolling Calculators

That means each and every time you roll a dice, the probability that a specific number will turn up is exactly the same. And this is true of every number on every face of the dice.  All the numbers have equal probability of coming up unless you purposely put the same number on more than one face.  And of course, as you know by now, as a D&D storyline creator you may very well want one specific number to have a greater chance of coming up than other numbers.

And we'll get to that in the Collection page D&D 2.0.

D&D 2.0  Random But Skewed Outcomes

To make a random draw that will have a higher probability of one number in a range being drawn, we can use the Focused Roll equation. A natural distribution can be created around Normal Distribution (known as a Gaussian Distribution)